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Finding the Fourth Proportional to 78,857.66, 118,285.87 and 19,692.93

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Solution

The fourth proportional to 78,857.66, 118,285.87 and 19,692.93 is: 29,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,857.66 : 118,285.87 = 19,692.93 : x
  2. Step 2: Convert to fraction form
    78,857.66/118,285.87 = 19,692.93/x
  3. Step 3: Cross multiply
    78,857.66x = 118,285.87 × 19,692.93
  4. Step 4: Simplify right side
    78,857.66x = 2,329,395,357.90
  5. Step 5: Solve for x
    x = 2,329,395,357.90/78,857.66
  6. Step 6: Final answer
    x = 29,539.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.